Lesson 13.8 Interpret Box-and-Whisker Plots

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Presentation transcript:

Lesson 13.8 Interpret Box-and-Whisker Plots Essential Question: How do you make and interpret box-and-whisker plots?

Arrange the following numbers in numerical order Before we start… Arrange the following numbers in numerical order 14 8 22 16 19 9 25 12 5 11 10 What is the median? What is the minimum value? What is the maximum value?

What is a box-and-whisker plot? It organizes data values into four groups. lower and upper halves lower quartile = median of lower half upper quartile = median of upper half

How do you make a box-and-whisker plot? Order the data. Find the median and the quartiles. Plot the median, the quartiles, the maximum value, and the minimum value below a number line. Draw a box from the quartiles and then connect the maximum and minimum values with “whiskers”.

Song Lengths The lengths of songs (in seconds) on a CD are listed below. Make a box-and-whisker plot of the song lengths. 173, 206, 179, 257, 198, 251, 239, 246, 295, 181, 261

Televisions The prices (in dollars) of 27-inch television sets at an electronics store are given below. Make a box-and-whisker plot of the television prices. 188, 225, 192, 239, 271, 286, 224, 334, 316, 275

How do you interpret box-and-whisker plots? 4 parts: 2 parts of the box 25% of data 2 parts of whiskers Each part contains approximately the same number of data values

What is the interquartile range? Is the difference of the upper quartile and the lower quartile

The box-and-whisker plots below show the normal monthly wind speeds (in miles per hour) in Athens and Savannah, Georgia. For how many months is Athens’ wind speed more than 8.3 miles per hour? Compare the wind speeds in the two cities.

What is an outlier? A value that is widely separated from the rest of the data Is the value 1.5 times greater or less than the quartile value?

The normal monthly amounts of precipitation (in inches) in Dallas are: 1.9, 2.4, 3.1, 3.2, 5.2, 3.2, 2.1, 2.0, 2.4, 4.1, 2.6, 2.6. Which value, if any, is an outlier?

Which value, if any, is an outlier in the data set? 3.7, 3.0, 3.4, 3.6, 5.2, 5.4, 3.2, 3.8, 4.3, 4.5, 4.2, 3.7

How do you make and interpret box-and-whisker plots?

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